What is expand-((24x-600)e^{-x/(25)})/5 ?

The solution to expand-((24x-600)e^{-x/(25)})/5 is -(24e^{-x/(25)}x)/5+120e^{-x/(25)}

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expand-((24x-600)e^{-x/(25)})/5

expand

- \frac{( 24 x - 600 ) e ^{- \frac{x}{25}}}{5}

- \frac{24 e ^{- \frac{x}{25}} x}{5} + 120 e^{- \frac{x}{25}}

Solution steps

- \frac{( 24 x - 600 ) e ^{- \frac{x}{25}}}{5}

Expand

(24 x - 600) e^{- \frac{x}{25}} : 24 e^{- \frac{x}{25}} x - 600 e^{- \frac{x}{25}}

= - \frac{24 e ^{- \frac{x}{25}} x - 600 e ^{- \frac{x}{25}}}{5}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{24 e ^{- \frac{x}{25}} x - 600 e ^{- \frac{x}{25}}}{5} = - (\frac{24 e ^{- \frac{x}{25}} x}{5}) - (- \frac{600 e ^{- \frac{x}{25}}}{5})

= - (\frac{24 e ^{- \frac{x}{25}} x}{5}) - (- \frac{600 e ^{- \frac{x}{25}}}{5})

Remove parentheses:

(a) = a, - (- a) = a

= - \frac{24 e ^{- \frac{x}{25}} x}{5} + \frac{600 e ^{- \frac{x}{25}}}{5}

Divide the numbers:

\frac{600}{5} = 120

= - \frac{24 e ^{- \frac{x}{25}} x}{5} + 120 e^{- \frac{x}{25}}

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What is expand-((24x-600)e^{-x/(25)})/5 ?
The solution to expand-((24x-600)e^{-x/(25)})/5 is -(24e^{-x/(25)}x)/5+120e^{-x/(25)}